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Simplifying 5(u + -3) = 7u + 1 + -2(-7u + -1) Reorder the terms: 5(-3 + u) = 7u + 1 + -2(-7u + -1) (-3 * 5 + u * 5) = 7u + 1 + -2(-7u + -1) (-15 + 5u) = 7u + 1 + -2(-7u + -1) Reorder the terms: -15 + 5u = 7u + 1 + -2(-1 + -7u) -15 + 5u = 7u + 1 + (-1 * -2 + -7u * -2) -15 + 5u = 7u + 1 + (2 + 14u) Reorder the terms: -15 + 5u = 1 + 2 + 7u + 14u Combine like terms: 1 + 2 = 3 -15 + 5u = 3 + 7u + 14u Combine like terms: 7u + 14u = 21u -15 + 5u = 3 + 21u Solving -15 + 5u = 3 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -15 + 5u + -21u = 3 + 21u + -21u Combine like terms: 5u + -21u = -16u -15 + -16u = 3 + 21u + -21u Combine like terms: 21u + -21u = 0 -15 + -16u = 3 + 0 -15 + -16u = 3 Add '15' to each side of the equation. -15 + 15 + -16u = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -16u = 3 + 15 -16u = 3 + 15 Combine like terms: 3 + 15 = 18 -16u = 18 Divide each side by '-16'. u = -1.125 Simplifying u = -1.125
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